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Question
Identify the following sequence is in G.P.?
0.5, 0.05, 0.005, …
Solution
0.5, 0.05, 0.005, …
r = `("t"_2)/("t"_1)`
= `0.05/0.5`
= `(0.05 xx 100)/(0.5 xx 100)`
= `5/50 = 1/10`
r = `("t"_3)/("t"_2)`
= `0.005/0.05`
= `(0.005 xx 1000)/(0.05 xx 1000)`
= `5/50 = 1/10`
r = `1/10 = 1/10`
∴ It is a G.P.
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